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math.LO2014
A topological approach to non-Archimedean Mathematics
Vieri Benci, Lorenzo Luperi Baglini
Non-Archimedean mathematics (in particular, nonstandard analysis) allows to construct some useful models to study certain phenomena arising in PDE's; for example, it allows to cons…
math.LO2014
A nonstandard technique in combinatorial number theory
Lorenzo Luperi Baglini
In [9], [15] it has been introduced a technique, based on nonstandard analysis, to study some problems in combinatorial number theory. In this paper we present three applications o…
math.LO2014
Ultrafilters maximal for finite embeddability
Lorenzo Luperi Baglini
In [1] the authors showed some basic properties of a pre-order that arose in combinatorial number theory, namely the finite embeddability between sets of natural numbers, and they…